Geodesic
Unmixed bipartite graphs and sublattices of the Boolean lattices
Journal of Algebraic Combinatorics, Tome 30 (2009) no. 4, pp. 415-420.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The correspondence between unmixed bipartite graphs and sublattices of the Boolean lattice is discussed. By using this correspondence, we show existence of squarefree quadratic initial ideals of toric ideals arising from minimal vertex covers of unmixed bipartite graphs.
Keywords: keywords toric ideal, Gröbner basis, bipartite graph, vertex cover, Cohen-Macaulay ring 
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     author = {Herzog, J\"urgen and Hibi, Takayuki and Ohsugi, Hidefumi},
     title = {Unmixed bipartite graphs and sublattices of the {Boolean} lattices},
     journal = {Journal of Algebraic Combinatorics},
     pages = {415--420},
     publisher = {mathdoc},
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     year = {2009},
     language = {en},
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}
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Herzog, Jürgen; Hibi, Takayuki; Ohsugi, Hidefumi. Unmixed bipartite graphs and sublattices of the Boolean lattices. Journal of Algebraic Combinatorics, Tome 30 (2009) no. 4, pp. 415-420. http://geodesic.mathdoc.fr/item/JAC_2009__30_4_a9/